Boundary behaviors and scalar curvature of compact manifolds
Yuguang Shi, Luen-Fai Tam
Abstract
In this paper, by modifying the arguments in WY, we get some rigidity theorems on compact manifolds with nonempty boundary. The results in this paper are similar with those in ST and WY. Like ST and WY, we still use quasi-spherical metrics introduced by Ba to get monotonicity of some quantities.
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